{"id":40795,"date":"2026-01-19T22:06:02","date_gmt":"2026-01-19T14:06:02","guid":{"rendered":"https:\/\/17aitech.com\/?p=40795"},"modified":"2026-01-19T22:06:02","modified_gmt":"2026-01-19T14:06:02","slug":"%e4%ba%ba%e5%a4%a7%e9%ab%98%e7%93%b4%e8%b5%b5%e9%91%ab%e5%9b%a2%e9%98%9f%e6%96%b0%e4%bd%9c%ef%bc%9a%e5%85%88%e6%8b%86%e6%8e%89-rlvr%ef%bc%8c%e5%86%8d%e9%87%8d%e5%bb%ba%e6%8e%a8%e7%90%86%e6%a8%a1","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=40795","title":{"rendered":"\u4eba\u5927\u9ad8\u74f4\u8d75\u946b\u56e2\u961f\u65b0\u4f5c\uff1a\u5148\u62c6\u6389 RLVR\uff0c\u518d\u91cd\u5efa\u63a8\u7406\u6a21\u578b\u8bad\u7ec3"},"content":{"rendered":"<p>\u5f53\u5927\u8bed\u8a00\u6a21\u578b\u5f00\u59cb\u88ab\u8981\u6c42\u89e3\u6570\u5b66\u9898\u3001\u5199\u8bc1\u660e\u3001\u89c4\u5212\u4efb\u52a1\u6d41\u7a0b\uff0c\u4eba\u4eec\u624d\u771f\u6b63\u610f\u8bc6\u5230\u4e00\u4ef6\u4e8b\uff1a\u4f1a\u751f\u6210\u5e76\u4e0d\u7b49\u4e8e\u4f1a\u63a8\u7406\u3002<\/p>\n<p>\u8fc7\u53bb\u51e0\u5e74\uff0c\u884c\u4e1a\u628a\u5927\u6a21\u578b\u63a8\u5411\u524d\u6240\u672a\u6709\u7684\u89c4\u6a21\uff0c\u7528 RLHF \u548c\u5404\u79cd\u5956\u52b1\u6280\u672f\u628a\u7b54\u6848\u6821\u51c6\u5f97\u8d8a\u6765\u8d8a\u50cf\u4eba\u7c7b\u3002\u4f46\u4e00\u4e2a\u8d8a\u6765\u8d8a\u5c16\u9510\u7684\u73b0\u5b9e\u95ee\u9898\u4e5f\u968f\u4e4b\u6d6e\u73b0\uff1a\u6a21\u578b\u4e3a\u4ec0\u4e48\u6709\u65f6\u4e00\u672c\u6b63\u7ecf\u5730\u80e1\u8bf4\u516b\u9053\uff1f\u4e3a\u4ec0\u4e48\u5728\u540c\u4e00\u8bad\u7ec3\u6846\u67b6\u4e0b\uff0c\u5b83\u6709\u65f6\u5f02\u5e38\u81ea\u4fe1\u5374\u9519\u8bef\uff0c\u6709\u65f6\u53c8\u663e\u5f97\u754f\u9996\u754f\u5c3e\uff1f\u5728\u4eba\u4eec\u4e0d\u65ad\u5f3a\u5316\u5b66\u4e60\u4fe1\u53f7\u3001\u8ffd\u6c42\u66f4\u9ad8\u5206\u6570\u7684\u540c\u65f6\uff0c\u4e00\u4e2a\u5173\u952e\u95ee\u9898\u59cb\u7ec8\u6ca1\u6709\u88ab\u771f\u6b63\u56de\u7b54\uff1a\u6b63\u6837\u672c\u4e0e\u8d1f\u6837\u672c\u5230\u5e95\u5728\u6a21\u578b\u5185\u90e8\u6539\u53d8\u4e86\u4ec0\u4e48\u3002<\/p>\n<p>\u6b63\u662f\u5728\u8fd9\u6837\u7684\u80cc\u666f\u4e0b\uff0c\u6765\u81ea\u4eba\u5927\u9ad8\u74f4\u5b66\u9662\u7684\u8d75\u946b\u56e2\u961f\u628a\u6ce8\u610f\u529b\u653e\u5728\u4e86\u8fd9\u4e00\u6838\u5fc3\u95ee\u9898\u4e0a\u3002\u4ed6\u4eec\u6ca1\u6709\u6025\u4e8e\u518d\u63d0\u51fa\u4e00\u4e2a\u66f4\u5927\u7684\u6a21\u578b\u6216\u66f4\u590d\u6742\u7684\u7b97\u6cd5\uff0c\u800c\u662f\u523b\u610f\u9000\u540e\u4e00\u6b65\uff0c\u56f4\u7ed5 RLVR \u6846\u67b6\u8bbe\u8ba1\u4e86\u4e00\u6574\u5957\u7cfb\u7edf\u5b9e\u9a8c\uff1a\u5982\u679c\u53ea\u7528\u6b63\u6837\u672c\u4f1a\u53d1\u751f\u4ec0\u4e48\uff0c\u53ea\u7528\u8d1f\u6837\u672c\u53c8\u4f1a\u4ea7\u751f\u600e\u6837\u7684\u884c\u4e3a\u53d8\u5316\u3002\u6a21\u578b\u662f\u5728\u771f\u6b63\u5f62\u6210\u63a8\u7406\u80fd\u529b\uff0c\u8fd8\u662f\u88ab\u5956\u52b1\u51fd\u6570\u63a8\u7740\u8d70\u5411\u67d0\u4e9b\u770b\u4f3c\u5408\u7406\u7684\u5957\u8def\uff1f\u8fdb\u4e00\u6b65\u5730\uff0c\u5728\u4e00\u6761\u5b8c\u6574\u7684\u63a8\u7406\u94fe\u4e2d\uff0c\u662f\u5426\u5b58\u5728\u5c11\u6570\u5173\u952e token\uff0c\u50cf\u5c94\u8def\u53e3\u4e00\u6837\u51b3\u5b9a\u6a21\u578b\u662f\u8d70\u5411\u6b63\u786e\uff0c\u8fd8\u662f\u81ea\u4fe1\u5730\u504f\u79bb\u8f68\u9053\u3002<\/p>\n<p>\u56f4\u7ed5\u8fd9\u4e9b\u95ee\u9898\uff0c\u7814\u7a76\u56e2\u961f\u5b8c\u6210\u4e86\u8bba\u6587\u300aA3PO: Adaptive Asymmetric Advantage Shaping for Reasoning Models\u300b\uff0c\u5e76\u63d0\u51fa\u4e86\u63a8\u7406\u6a21\u578b\u8bad\u7ec3\u65b9\u6cd5 A3PO\u3002\u4e0e\u5176\u8bf4\u8fd9\u662f\u4e00\u6b21\u65b9\u6cd5\u5c42\u9762\u7684\u521b\u65b0\uff0c\u4e0d\u5982\u8bf4\u5b83\u9996\u5148\u5b8c\u6210\u4e86\u4e00\u6b21\u673a\u5236\u6f84\u6e05\uff1a\u6b63\u6837\u672c\u4e3b\u8981\u6536\u7f29\u7b56\u7565\u7a7a\u95f4\uff0c\u4f7f\u6a21\u578b\u5728\u65e2\u6709\u6b63\u786e\u8def\u5f84\u4e0a\u66f4\u52a0\u7b03\u5b9a\uff0c\u8d1f\u6837\u672c\u5219\u6269\u5f20\u7b56\u7565\u7a7a\u95f4\uff0c\u63a8\u52a8\u6a21\u578b\u8df3\u51fa\u65e7\u6709\u6a21\u5f0f\u6301\u7eed\u63a2\u7d22\uff0c\u800c\u771f\u6b63\u51b3\u5b9a\u8bad\u7ec3\u8d70\u5411\u7684\uff0c\u5e76\u975e\u6574\u6761\u6837\u672c\u672c\u8eab\uff0c\u800c\u662f\u63a8\u7406\u8fc7\u7a0b\u4e2d\u90a3\u4e9b\u51b7\u95e8\u5374\u6b63\u786e\u3001\u4ee5\u53ca\u81ea\u4fe1\u4f46\u9519\u8bef\u7684\u5173\u952e token\u3002<\/p>\n<p>\u5728\u8fd9\u4e00\u8ba4\u8bc6\u57fa\u7840\u4e0a\u5f62\u6210\u7684 A3PO \u65b9\u6cd5\uff0c\u5c06\u8bad\u7ec3\u91cd\u70b9\u4ece\u6574\u4f53\u6837\u672c\u8f6c\u5411\u5173\u952e\u51b3\u7b56\u70b9\uff0c\u4f7f\u63a8\u7406\u6a21\u578b\u7684\u5b66\u4e60\u8fc7\u7a0b\u53d8\u5f97\u66f4\u52a0\u53ef\u89e3\u91ca\u3001\u4e5f\u66f4\u53ef\u63a7\u5236\u3002\u8fd9\u4e00\u8f6c\u53d8\u8868\u660e\uff0c\u63a8\u7406\u5927\u6a21\u578b\u7684\u8fdb\u6b65\u4e0d\u518d\u53ea\u662f\u4f9d\u8d56\u89c4\u6a21\u548c\u7b97\u529b\uff0c\u800c\u6b63\u5728\u8d70\u5411\u5bf9\u8bad\u7ec3\u673a\u5236\u672c\u8eab\u7684\u6df1\u5165\u7406\u89e3\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-1142057d0a397cfbfe7b2989e7d334be.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-1142057d0a397cfbfe7b2989e7d334be.png\"><\/a><\/p>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2512.21625v1<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_78 ez-toc-wrap-left-text counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u6587\u7ae0\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" 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href=\"https:\/\/17aitech.com\/?p=40795\/#%E5%9C%A8%E6%9C%BA%E5%88%B6%E5%88%86%E6%9E%90%E5%9F%BA%E7%A1%80%E4%B8%8A%E6%9E%84%E5%BB%BA_A3PO\" >\u5728\u673a\u5236\u5206\u6790\u57fa\u7840\u4e0a\u6784\u5efa A3PO<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/17aitech.com\/?p=40795\/#%E6%AD%A3%E8%B4%9F%E6%A0%B7%E6%9C%AC%E4%BD%9C%E7%94%A8%E8%BE%B9%E7%95%8C%E7%9A%84%E9%87%8D%E6%96%B0%E7%95%8C%E5%AE%9A\" >\u6b63\u8d1f\u6837\u672c\u4f5c\u7528\u8fb9\u754c\u7684\u91cd\u65b0\u754c\u5b9a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/17aitech.com\/?p=40795\/#%E8%83%8C%E5%90%8E%E7%9A%84%E5%AD%A6%E6%9C%AF%E5%8A%9B%E9%87%8F\" >\u80cc\u540e\u7684\u5b66\u672f\u529b\u91cf<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E6%AD%A3%E6%A0%B7%E6%9C%AC%E3%80%8C%E6%94%B6%E7%BC%A9%E3%80%8Dvs_%E8%B4%9F%E6%A0%B7%E6%9C%AC%E3%80%8C%E6%8E%A2%E7%B4%A2%E3%80%8D\"><\/span>\u6b63\u6837\u672c\u300c\u6536\u7f29\u300dvs \u8d1f\u6837\u672c\u300c\u63a2\u7d22\u300d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5b9e\u9a8c\u4e2d\uff0c\u7814\u7a76\u4eba\u5458\u9996\u5148\u5bf9\u6bd4\u4e86\u6b63\u6837\u672c\u548c\u8d1f\u6837\u672c\uff0c\u5e76\u53d1\u73b0\u5b83\u4eec\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u8d77\u5230\u7684\u4f5c\u7528\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n<p>\u5177\u4f53\u8868\u73b0\u4e3a\uff0c\u5f53\u53ea\u7528\u6b63\u6837\u672c\u8bad\u7ec3\uff08PSR\uff09\u65f6\uff0c\u6a21\u578b\u4f1a\u53d8\u5f97\u8d8a\u6765\u8d8a\u786e\u5b9a\uff1a\u71b5\u8fc5\u901f\u4e0b\u964d\uff0c\u8f93\u51fa\u5206\u5e03\u8d8a\u6765\u8d8a\u5c16\u9510\uff0c\u7b54\u6848\u957f\u5ea6\u660e\u663e\u53d8\u77ed\uff0c\u7ecf\u5e38\u76f4\u63a5\u7ed9\u51fa\u7ed3\u679c\u800c\u4e0d\u5c55\u5f00\u5b8c\u6574\u63a8\u7406\u3002\u8fd9\u8bf4\u660e\u6b63\u6837\u672c\u66f4\u591a\u662f\u5728\u5f3a\u5316\u5df2\u7ecf\u6b63\u786e\u7684\u63a8\u7406\u8def\u5f84\uff0c\u8ba9\u6a21\u578b\u4e0d\u65ad\u91cd\u590d\u719f\u6089\u7684\u89e3\u9898\u5957\u8def\uff0c\u540c\u65f6\u4e5f\u4f1a\u6291\u5236\u7ee7\u7eed\u63a2\u7d22\u65b0\u8def\u5f84\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-1088a05be5f383393fca2d41e75f54d1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-1088a05be5f383393fca2d41e75f54d1.png\"><\/a><\/p>\n<p>\u4e0e\u6b64\u76f8\u53cd\uff0c\u53ea\u7528\u8d1f\u6837\u672c\u8bad\u7ec3\uff08NSR\uff09\u65f6\uff0c\u6a21\u578b\u7684\u71b5\u4fdd\u6301\u5728\u8f83\u9ad8\u6c34\u5e73\u751a\u81f3\u4e0a\u5347\uff0c\u56de\u7b54\u957f\u5ea6\u53d8\u957f\uff0c\u63a8\u7406\u6b65\u9aa4\u589e\u591a\uff0c\u8868\u73b0\u51fa\u66f4\u5f3a\u7684\u5c1d\u8bd5\u548c\u63a2\u7d22\u503e\u5411\u3002\u8fd9\u662f\u56e0\u4e3a\u8d1f\u6837\u672c\u8bad\u7ec3\u4e3b\u8981\u5728\u524a\u5f31\u9519\u8bef token \u7684\u6982\u7387\uff0c\u4f7f\u539f\u672c\u96c6\u4e2d\u7684\u6982\u7387\u88ab\u5206\u6563\u5230\u5176\u4ed6\u5019\u9009\u8def\u5f84\u4e0a\uff0c\u4ece\u800c\u5e26\u6765\u66f4\u5f3a\u7684\u63a2\u7d22\u80fd\u529b\u3002<\/p>\n<p>\u4e0d\u8fc7\uff0c\u5b9e\u9a8c\u4e5f\u8868\u660e\uff0c\u4e24\u79cd\u6781\u7aef\u65b9\u5f0f\u5176\u5b9e\u90fd\u4e0d\u7406\u60f3\uff1a\u53ea\u7528\u6b63\u6837\u672c\u5bb9\u6613\u51fa\u73b0 reward hacking\uff0c\u53ea\u62a5\u7b54\u6848\u4e0d\u63a8\u7406\uff0c\u53ea\u7528\u8d1f\u6837\u672c\u8bad\u7ec3\u4e0d\u7a33\u5b9a\uff0c\u751a\u81f3\u53ef\u80fd\u751f\u6210\u4e71\u7801\u3002\u6574\u4f53\u6bd4\u8f83\u4e0b\u6765\uff0c\u6b63\u8d1f\u6837\u672c\u540c\u65f6\u4f7f\u7528\uff08DAPO\uff09\u65f6\u8bad\u7ec3\u66f2\u7ebf\u66f4\u5e73\u7a33\uff0c\u6cdb\u5316\u80fd\u529b\u4e5f\u6700\u597d\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-e4367235872d260c2b95e08a5d019f93.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-e4367235872d260c2b95e08a5d019f93.png\"><\/a><\/p>\n<p>\u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u7814\u7a76\u4eba\u5458\u53c8\u5f15\u5165\u9510\u5316\uff08sharpen\uff09\u548c\u53d1\u73b0\uff08discovery\uff09\u4e24\u4e2a\u6307\u6807\u6765\u523b\u753b\u6a21\u578b\u751f\u6210\u5185\u5bb9\u7684\u53d8\u5316\u3002\u9510\u5316\u6307\u6807\u53cd\u6620\u6a21\u578b\u662f\u5426\u5728\u91cd\u590d\u5386\u53f2\u6b63\u786e\u7b54\u6848\u4e2d\u5df2\u7ecf\u51fa\u73b0\u8fc7\u7684 n-gram\uff0c\u800c\u53d1\u73b0\u6307\u6807\u53cd\u6620\u662f\u5426\u4ea7\u751f\u4e86\u65b0\u7684\u3001\u4ece\u672a\u51fa\u73b0\u8fc7\u7684 n-gram\u3002\u96f7\u5cf0\u7f51<\/p>\n<p>\u7ed3\u679c\u663e\u793a\uff0c\u5728\u9510\u5316\u6307\u6807\u4e0a\uff0cPSR \u9ad8\u4e8e DAPO\uff0cDAPO \u53c8\u9ad8\u4e8e NSR\uff0c\u5728\u53d1\u73b0\u6307\u6807\u4e0a\u5219\u76f8\u53cd\uff0cNSR \u6700\u9ad8\uff0cDAPO \u5c45\u4e2d\uff0cPSR \u6700\u4f4e\u3002\u8fd9\u8868\u660e\u6b63\u6837\u672c\u66f4\u50cf\u5728\u78e8\u5200\uff0c\u4f7f\u5df2\u6709\u6b63\u786e\u6a21\u5f0f\u53d8\u5f97\u66f4\u719f\u7ec3\u3001\u66f4\u7a33\u5b9a\uff0c\u800c\u8d1f\u6837\u672c\u66f4\u50cf\u5728\u5f00\u8def\uff0c\u63a8\u52a8\u6a21\u578b\u5bfb\u627e\u65b0\u7684\u63a8\u7406\u65b9\u5f0f\uff0c\u4e24\u8005\u7ed3\u5408\u624d\u80fd\u65e2\u4fdd\u8bc1\u7a33\u5b9a\u6027\uff0c\u53c8\u62d3\u5c55\u80fd\u529b\u4e0a\u9650\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-ca011390a82def7bfaafac8f14017263.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-ca011390a82def7bfaafac8f14017263.png\"><\/a><\/p>\n<p>\u7814\u7a76\u56e2\u961f\u8fd8\u4ece\u6781\u6027\u7ea7 advantage \u7684\u89d2\u5ea6\u5206\u6790\u4e86\u6b63\u8d1f\u6837\u672c\u6743\u91cd\u7684\u5f71\u54cd\u3002\u4ee5 Qwen2.5-7B-Math \u4e3a\u4f8b\uff0c\u5f53\u589e\u5927\u6b63\u6837\u672c\u6743\u91cd\uff08\u5982 P2N1\u3001P1N0.5\uff09\u65f6\uff0c\u8bad\u7ec3\u5956\u52b1\u4e0a\u5347\u66f4\u5feb\uff0c\u4f46\u71b5\u660e\u663e\u4e0b\u964d\u3001\u8f93\u51fa\u53d8\u77ed\uff0c\u63a2\u7d22\u80fd\u529b\u51cf\u5f31\uff0c\u6743\u91cd\u8fc7\u5927\u65f6\u751a\u81f3\u4f1a\u8fc7\u62df\u5408\u65e2\u6709\u6a21\u5f0f\uff0c\u800c\u5f53\u589e\u5927\u8d1f\u6837\u672c\u6743\u91cd\uff08\u5982 P1N5\uff09\u65f6\uff0c\u71b5\u548c\u8f93\u51fa\u957f\u5ea6\u90fd\u66f4\u9ad8\uff0c\u63a2\u7d22\u66f4\u5145\u5206\uff0c\u4f46\u5956\u52b1\u4e0a\u5347\u53d8\u6162\uff0c\u6a21\u578b\u8868\u73b0\u5f97\u66f4\u52a0\u8c28\u614e\u3002<\/p>\n<p>\u5b9e\u9a8c\u8868\u660e\uff0c\u51b3\u5b9a\u8bad\u7ec3\u52a8\u6001\u7684\u5173\u952e\u4e0d\u5728\u4e8e\u5404\u81ea\u6743\u91cd\u7684\u7edd\u5bf9\u5927\u5c0f\uff0c\u800c\u5728\u4e8e\u6b63\u8d1f\u6837\u672c\u4e4b\u95f4\u7684\u6bd4\u4f8b\uff0c\u4f8b\u5982 P2N1 \u4e0e P1N0.5 \u7684\u6bd4\u4f8b\u76f8\u540c\uff0c\u66f2\u7ebf\u8868\u73b0\u4e5f\u975e\u5e38\u76f8\u4f3c\u3002\u603b\u4f53\u6765\u770b\uff0c\u6b63\u8d1f advantage \u6bd4\u4f8b\u5927\u7ea6\u5728 1:2 \u5de6\u53f3\u65f6\uff0c\u80fd\u591f\u8f83\u597d\u5730\u517c\u987e\u6536\u655b\u901f\u5ea6\u4e0e\u63a2\u7d22\u80fd\u529b\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-e292eaf67ef7ced663161fa126d5bec9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-e292eaf67ef7ced663161fa126d5bec9.png\"><\/a><\/p>\n<p>\u6700\u540e\uff0c\u5728 token \u7ea7\u522b\u7684\u5b9e\u9a8c\u4e2d\uff0c\u7814\u7a76\u4eba\u5458\u8fdb\u4e00\u6b65\u5206\u6790\u4e86\u54ea\u4e9b token \u5728\u8bad\u7ec3\u4e2d\u6700\u5173\u952e\u3002\u7ed3\u679c\u53d1\u73b0\uff0c\u5e76\u4e0d\u662f\u6240\u6709 token \u90fd\u540c\u7b49\u91cd\u8981\uff0c\u800c\u662f\u4e24\u7c7b\u6700\u5173\u952e\uff1a\u4e00\u7c7b\u662f\u6b63\u6837\u672c\u4e2d\u7684\u4f4e\u6982\u7387 token\uff0c\u5373\u51b7\u95e8\u4f46\u6b63\u786e\u7684\u63a8\u7406\u6b65\u9aa4\uff0c\u53e6\u4e00\u7c7b\u662f\u8d1f\u6837\u672c\u4e2d\u7684\u9ad8\u6982\u7387 token\uff0c\u4e5f\u5c31\u662f\u6a21\u578b\u975e\u5e38\u81ea\u4fe1\u4f46\u5b9e\u9645\u4e0a\u662f\u9519\u8bef\u7684\u90e8\u5206\u3002<\/p>\n<p>\u524d\u8005\u9700\u8981\u91cd\u70b9\u5956\u52b1\uff0c\u4ee5\u4fdd\u7559\u591a\u6837\u4f46\u6b63\u786e\u7684\u63a8\u7406\u8def\u5f84\uff0c\u540e\u8005\u9700\u8981\u91cd\u70b9\u60e9\u7f5a\uff0c\u9632\u6b62\u6a21\u578b\u56fa\u6267\u5730\u575a\u6301\u9519\u8bef\u7b54\u6848\u3002\u65b0\u63d0\u51fa\u7684 A3PO \u65b9\u6cd5\u6b63\u662f\u56f4\u7ed5\u8fd9\u4e24\u7c7b\u5173\u952e token \u8fdb\u884c\u975e\u5bf9\u79f0\u52a0\u6743\u8bbe\u8ba1\u7684\uff0c\u8fd9\u4e00\u70b9\u4e5f\u5f97\u5230\u4e86\u5b9e\u9a8c\u6570\u636e\u7684\u652f\u6301\u3002<\/p>\n<p>\u5728 Qwen2.5-7B-Math \u4e0a\uff0cA3PO \u5728 AIME24 \u4e0e AIME25 \u4e0a\u5206\u522b\u4ece DAPO \u7684 27.6 \u548c 21.4 \u63d0\u5347\u5230 31.5 \u548c 24.8\uff1b\u5728 Qwen3-8B-Base \u4e0a\uff0c\u4e5f\u4ece 34.2\/26.1 \u63d0\u5347\u5230 37.8\/30.4\uff1b\u5728 DeepSeek-R1 \u84b8\u998f\u6a21\u578b\u4e0a\uff0c\u5219\u4ece 60.8\/50.8 \u63d0\u5347\u5230 65.2\/54.1\u3002\u5e76\u4e14\uff0c\u8fd9\u4e9b\u63d0\u5347\u4e0d\u4ec5\u51fa\u73b0\u5728\u5355\u4e00\u6570\u636e\u96c6\u4e0a\uff0c\u800c\u662f\u5728 AIME\u3001MATH500\u3001GPQA \u7b49\u591a\u4e2a\u57fa\u51c6\u4e0a\u540c\u65f6\u51fa\u73b0\uff0c\u5176\u4e2d\u591a\u9879\u7ed3\u679c\u8fd8\u901a\u8fc7\u4e86\u663e\u8457\u6027\u68c0\u9a8c\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u53ef\u4ee5\u8ba4\u4e3a A3PO \u5728\u4fdd\u6301\u8f83\u5f3a\u63a2\u7d22\u80fd\u529b\u7684\u540c\u65f6\uff0c\u786e\u5b9e\u5728\u4e0d\u540c\u6a21\u578b\u4e0e\u4e0d\u540c\u8bc4\u6d4b\u4efb\u52a1\u4e0a\u5e26\u6765\u4e86\u7a33\u5b9a\u4e14\u660e\u786e\u7684\u6027\u80fd\u63d0\u5347\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-0c9c66d218207cae7a367c83db67d70e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-0c9c66d218207cae7a367c83db67d70e.png\"><\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%9C%A8%E6%9C%BA%E5%88%B6%E5%88%86%E6%9E%90%E5%9F%BA%E7%A1%80%E4%B8%8A%E6%9E%84%E5%BB%BA_A3PO\"><\/span>\u5728\u673a\u5236\u5206\u6790\u57fa\u7840\u4e0a\u6784\u5efa A3PO<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u5f97\u5230\u5168\u9762\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u7814\u7a76\u4eba\u5458\u9996\u5148\u56f4\u7ed5 RLVR \u6846\u67b6\u642d\u5efa\u4e86\u4e00\u7cfb\u5217\u5bf9\u7167\u5b9e\u9a8c\uff0c\u76ee\u7684\u662f\u4e0d\u6025\u4e8e\u63d0\u51fa\u65b0\u65b9\u6cd5\uff0c\u800c\u662f\u5148\u628a\u6b63\u6837\u672c\u548c\u8d1f\u6837\u672c\u7684\u4f5c\u7528\u62c6\u5f00\u6765\u770b\uff0c\u5206\u522b\u8003\u5bdf\u53ea\u7528\u6b63\u6837\u672c\u3001\u53ea\u7528\u8d1f\u6837\u672c\u4ee5\u53ca\u6b63\u8d1f\u6837\u672c\u540c\u65f6\u4f7f\u7528\u65f6\u6a21\u578b\u7684\u5177\u4f53\u8868\u73b0\u3002\u96f7\u5cf0\u7f51<span style=\"color:#FD5D3C\">(\u516c\u4f17\u53f7\uff1a\u96f7\u5cf0\u7f51)<\/span><\/p>\n<p>\u5b9e\u9a8c\u9009\u62e9\u4e86\u4e09\u79cd\u7c7b\u578b\u4e0d\u540c\u7684\u5927\u8bed\u8a00\u6a21\u578b\u4f5c\u4e3a\u57fa\u5ea7\uff0c\u5305\u62ec\u6570\u5b66\u80fd\u529b\u589e\u5f3a\u7684 Qwen2.5-7B-Math\u3001\u901a\u7528\u9884\u8bad\u7ec3\u6a21\u578b Qwen3-8B-Base \u4ee5\u53ca\u7ecf\u8fc7\u63a8\u7406\u84b8\u998f\u7684 DeepSeek-R1-Distill-Qwen-7B\uff0c\u5e76\u5206\u522b\u5728\u4e09\u79cd\u8bad\u7ec3\u8303\u5f0f\u4e0b\u8fdb\u884c\u5bf9\u6bd4\uff1a\u53ea\u4f7f\u7528\u6b63\u6837\u672c\u66f4\u65b0\u7684 PSR\uff0c\u53ea\u4f7f\u7528\u8d1f\u6837\u672c\u66f4\u65b0\u7684 NSR\uff0c\u4ee5\u53ca\u540c\u65f6\u5229\u7528\u6b63\u8d1f\u6837\u672c\u3001\u76ee\u524d\u8f83\u5e38\u7528\u7684 DAPO \u65b9\u6cd5\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-554bc25c46b63f13d5114b47e93a033f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-554bc25c46b63f13d5114b47e93a033f.png\"><\/a><\/p>\n<p>\u6574\u4e2a\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u4e0d\u4ec5\u8ddf\u8e2a\u6a21\u578b\u7684\u71b5\u3001\u751f\u6210\u56de\u7b54\u957f\u5ea6\u548c\u5956\u52b1\u503c\u7b49\u6307\u6807\uff0c\u4ee5\u53cd\u6620\u5176\u786e\u5b9a\u6027\u4e0e\u63a2\u7d22\u6027\u7684\u53d8\u5316\uff0c\u8fd8\u5728\u9a8c\u8bc1\u96c6\u4e0a\u6d4b\u8bd5 AIME25 \u7684 Avg@32 \u548c Pass@32 \u7b49\u6307\u6807\uff0c\u6765\u8bc4\u4f30\u771f\u5b9e\u63a8\u7406\u80fd\u529b\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-50b417c63ef5d9b78a3f49d599ca8ed4.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-50b417c63ef5d9b78a3f49d599ca8ed4.png\"><\/a><\/p>\n<p>\u5728\u786e\u8ba4\u6b63\u8d1f\u6837\u672c\u90fd\u53d1\u6325\u91cd\u8981\u4e14\u4e0d\u540c\u4f5c\u7528\u4e4b\u540e\uff0c\u7814\u7a76\u4eba\u5458\u8fdb\u4e00\u6b65\u8fdb\u884c\u7c97\u7c92\u5ea6\u7684\u53c2\u6570\u63a7\u5236\u5b9e\u9a8c\uff0c\u4ece\u6781\u6027\u5c42\u9762\u8c03\u6574 advantage \u6743\u91cd\u3002\u5728 Qwen2.5-7B-Math \u4e0a\uff0c\u5c06 RLVR \u7684\u635f\u5931\u51fd\u6570\u62c6\u5206\u4e3a\u6b63\u6837\u672c\u9879\u548c\u8d1f\u6837\u672c\u9879\uff0c\u901a\u8fc7\u8bbe\u7f6e\u4e0d\u540c\u7684\u6743\u91cd\u7ec4\u5408\uff08\u5982\u6b63\u8d1f 1:5 \u6216 2:1 \u7b49\uff09\uff0c\u7cfb\u7edf\u6bd4\u8f83\u4e0d\u540c\u6743\u91cd\u6bd4\u4f8b\u4e0b\u6a21\u578b\u7684\u71b5\u3001\u8f93\u51fa\u957f\u5ea6\u3001\u8bad\u7ec3\u5956\u52b1\u4ee5\u53ca AIME24 \u4e0a\u7684\u8868\u73b0\uff0c\u4ece\u800c\u5206\u6790\u6b63\u8d1f\u6837\u672c\u6574\u4f53\u6743\u91cd\u5bf9\u8bad\u7ec3\u52a8\u6001\u7684\u5f71\u54cd\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-ea161687de6c4ee9809059dfba7ba8df.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-ea161687de6c4ee9809059dfba7ba8df.png\"><\/a><\/p>\n<p>\u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u7814\u7a76\u89c6\u89d2\u88ab\u8fdb\u4e00\u6b65\u7ec6\u5316\u5230 token \u5c42\u9762\u3002\u7814\u7a76\u4eba\u5458\u4e0d\u518d\u4ec5\u8ba8\u8bba\u201c\u6b63\u8d1f\u6837\u672c\u6574\u4f53\u91cd\u8981\u4e0e\u5426\u201d\uff0c\u800c\u662f\u8003\u5bdf\u4e00\u6761\u63a8\u7406\u5e8f\u5217\u5185\u90e8\u4e0d\u540c token \u7684\u5dee\u5f02\u4f5c\u7528\u3002\u5177\u4f53\u505a\u6cd5\u662f\u6839\u636e token \u7684\u71b5\u548c\u6982\u7387\u4e24\u4e2a\u7ef4\u5ea6\uff0c\u6311\u9009\u51fa\u6b63\u6837\u672c\u548c\u8d1f\u6837\u672c\u4e2d\u9ad8\u71b5\u4e0e\u4f4e\u71b5\u3001\u9ad8\u6982\u7387\u4e0e\u4f4e\u6982\u7387\u7684\u4e0d\u540c token \u7c7b\u578b\uff0c\u7136\u540e\u5206\u522b\u5bf9\u8fd9\u4e9b token \u7684 advantage \u8fdb\u884c\u5927\u5e45\u653e\u7f29\uff0c\u4f8b\u5982\u4e58\u4ee5 0.2 \u6216 5\uff0c\u89c2\u5bdf\u6a21\u578b\u8bad\u7ec3\u66f2\u7ebf\u4e0e\u751f\u6210\u884c\u4e3a\u968f\u4e4b\u53d1\u751f\u7684\u53d8\u5316\uff0c\u4ece\u800c\u627e\u51fa\u771f\u6b63\u5bf9\u8bad\u7ec3\u6700\u654f\u611f\u3001\u6700\u5173\u952e\u7684 token \u533a\u57df\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-a8b145c1e66c2d28d3417519a83b98f0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-a8b145c1e66c2d28d3417519a83b98f0.png\"><\/a><\/p>\n<p>\u5728\u5b8c\u6210\u4ee5\u4e0a\u4e00\u7cfb\u5217\u5206\u6790\u4e4b\u540e\uff0c\u7814\u7a76\u56e2\u961f\u63d0\u51fa\u4e86\u65b0\u7684 A3PO \u65b9\u6cd5\uff0c\u5176\u6838\u5fc3\u601d\u60f3\u662f\u5728 RLVR \u76ee\u6807\u4e2d\u5f15\u5165\u81ea\u9002\u5e94\u4e14\u975e\u5bf9\u79f0\u7684 token \u7ea7 advantage \u52a0\u6743\u673a\u5236\uff1a\u5bf9\u6b63\u6837\u672c\u4e2d\u4f4e\u6982\u7387\u7684 token \u7ed9\u4e88\u66f4\u9ad8\u5956\u52b1\uff0c\u4ee5\u9f13\u52b1\u4fdd\u7559\u591a\u6837\u4f46\u6b63\u786e\u7684\u63a8\u7406\u8def\u5f84\uff0c\u5bf9\u8d1f\u6837\u672c\u4e2d\u9ad8\u6982\u7387\u7684 token \u7ed9\u4e88\u66f4\u5f3a\u60e9\u7f5a\uff0c\u4ee5\u91cd\u70b9\u7ea0\u6b63\u6a21\u578b\u81ea\u4fe1\u4f46\u9519\u8bef\u7684\u63a8\u7406\u3002\u540c\u65f6\uff0c\u8fd9\u4e9b\u52a0\u6743\u7cfb\u6570\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u9010\u6b65\u8870\u51cf\uff0c\u4f7f\u6a21\u578b\u80fd\u591f\u4ece\u524d\u671f\u7684\u66f4\u5f3a\u63a2\u7d22\u81ea\u7136\u8fc7\u6e21\u5230\u540e\u671f\u7684\u7a33\u5b9a\u6536\u655b\u3002<\/p>\n<p>\u5b9e\u9a8c\u91c7\u7528\u4e0e\u524d\u8ff0\u76f8\u540c\u7684\u4e09\u79cd\u6a21\u578b\uff0c\u5728 DAPO-Math \u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u8bad\u7ec3\uff0c\u57fa\u4e8e Verl \u4e0e vLLM \u7684\u79bb\u7ebf\u5f3a\u5316\u5b66\u4e60\u6846\u67b6\uff0c\u6bcf\u4e2a\u63d0\u793a\u751f\u6210 8 \u4e2a\u6837\u672c\uff0c\u8bad\u7ec3 300 \u6b65\uff0c\u5e76\u4e0e GRPO\u3001DAPO\u3001W-REINFORCE\u3001DAPO-Fork-Tokens \u548c Lp-Reg \u7b49\u65b9\u6cd5\u8fdb\u884c\u5bf9\u6bd4\uff0c\u6d4b\u8bd5\u4efb\u52a1\u6db5\u76d6 AIME24\u3001AIME25\u3001MATH500\u3001GPQA \u4e0e LiveCodeBench \u7b49\u591a\u4e2a\u63a8\u7406\u57fa\u51c6\u3002<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-e8ae7e9569822f5cb97492ec65a07dfe.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2026\/01\/frc-e8ae7e9569822f5cb97492ec65a07dfe.png\"><\/a><\/p>\n<p>\u6b64\u5916\uff0c\u7814\u7a76\u56e2\u961f\u8fd8\u7cfb\u7edf\u8bc4\u4f30\u4e86 A3PO \u5728\u4e0d\u540c\u6a21\u578b\u89c4\u6a21\u548c\u4e0d\u540c\u8bad\u7ec3\u6570\u636e\u96c6\u4e0a\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u5e76\u5bf9\u5176\u5173\u952e\u8d85\u53c2\u6570\uff08\u5305\u62ec token \u9009\u62e9\u6bd4\u4f8b\u3001\u521d\u59cb\u7f29\u653e\u7cfb\u6570 \u03c1 \u4ee5\u53ca\u8870\u51cf\u7cfb\u6570 \u03b1\uff09\u8fdb\u884c\u4e86\u654f\u611f\u6027\u5206\u6790\uff0c\u4ece\u800c\u5f62\u6210\u5b8c\u6574\u7684\u5b9e\u9a8c\u8bbe\u8ba1\u6846\u67b6\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%AD%A3%E8%B4%9F%E6%A0%B7%E6%9C%AC%E4%BD%9C%E7%94%A8%E8%BE%B9%E7%95%8C%E7%9A%84%E9%87%8D%E6%96%B0%E7%95%8C%E5%AE%9A\"><\/span>\u6b63\u8d1f\u6837\u672c\u4f5c\u7528\u8fb9\u754c\u7684\u91cd\u65b0\u754c\u5b9a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6574\u4f53\u6765\u770b\uff0c\u8fd9\u9879\u7814\u7a76\u7684\u6838\u5fc3\u610f\u4e49\u5728\u4e8e\uff0c\u5b83\u628a\u539f\u672c\u76f8\u5bf9\u6a21\u7cca\u7684 RLVR \u8bad\u7ec3\u8fc7\u7a0b\uff0c\u8f6c\u5316\u4e3a\u4e00\u4e2a\u5177\u6709\u6e05\u6670\u7ed3\u6784\u548c\u5185\u90e8\u673a\u5236\u89e3\u91ca\u7684\u6846\u67b6\u3002\u8fc7\u53bb\u5728\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u63a8\u7406\u6a21\u578b\u65f6\uff0c\u4eba\u4eec\u5927\u81f4\u77e5\u9053\u9700\u8981\u6b63\u6837\u672c\uff0c\u4e5f\u4f1a\u4f7f\u7528\u8d1f\u6837\u672c\uff0c\u4f46\u5f80\u5f80\u96be\u4ee5\u56de\u7b54\u4e00\u4e2a\u6839\u672c\u95ee\u9898\uff1a\u6b63\u8d1f\u6837\u672c\u5404\u81ea\u5728\u8bad\u7ec3\u4e2d\u7a76\u7adf\u8d77\u4ec0\u4e48\u4f5c\u7528\uff0c\u5b83\u4eec\u5982\u4f55\u6539\u53d8\u6a21\u578b\u7684\u5b66\u4e60\u52a8\u529b\u5b66\u3002<\/p>\n<p>\u8fd9\u9879\u5de5\u4f5c\u901a\u8fc7\u7cfb\u7edf\u5b9e\u9a8c\u7ed9\u51fa\u4e86\u660e\u786e\u7b54\u6848\uff1a\u6b63\u6837\u672c\u4e3b\u8981\u6536\u7f29\u7b56\u7565\u7a7a\u95f4\uff0c\u4f7f\u6a21\u578b\u5df2\u7ecf\u638c\u63e1\u7684\u6b63\u786e\u6a21\u5f0f\u66f4\u52a0\u96c6\u4e2d\u548c\u7a33\u5b9a\uff0c\u8d1f\u6837\u672c\u5219\u6269\u5f20\u7b56\u7565\u7a7a\u95f4\uff0c\u8feb\u4f7f\u6a21\u578b\u8131\u79bb\u65e7\u6709\u6a21\u5f0f\uff0c\u53bb\u63a2\u7d22\u65b0\u7684\u63a8\u7406\u8def\u5f84\u3002\u66f4\u91cd\u8981\u7684\u662f\uff0c\u7814\u7a76\u5e76\u672a\u505c\u7559\u5728\u6b63\u6837\u672c\u9510\u5316\u80fd\u529b\u3001\u8d1f\u6837\u672c\u4fc3\u8fdb\u63a2\u7d22\u8fd9\u6837\u7684\u6982\u62ec\u5c42\u9762\uff0c\u800c\u662f\u8fdb\u4e00\u6b65\u6307\u51fa\u8bad\u7ec3\u8d28\u91cf\u771f\u6b63\u53d6\u51b3\u4e8e\u54ea\u4e9b\u5177\u4f53\u51b3\u7b56\u70b9\u88ab\u91cd\u70b9\u5f3a\u5316\u3002<\/p>\n<p>\u7814\u7a76\u8868\u660e\uff0c\u6b63\u6837\u672c\u4e2d\u90a3\u4e9b\u539f\u672c\u9009\u62e9\u6982\u7387\u8f83\u4f4e\u4f46\u901a\u5411\u6b63\u786e\u7b54\u6848\u7684 token\uff0c\u4ee5\u53ca\u8d1f\u6837\u672c\u4e2d\u90a3\u4e9b\u6a21\u578b\u9ad8\u5ea6\u81ea\u4fe1\u5374\u6307\u5411\u9519\u8bef\u7b54\u6848\u7684 token\uff0c\u5bf9\u63a2\u7d22\u4e0e\u5229\u7528\u5e73\u8861\u5177\u6709\u51b3\u5b9a\u6027\u5f71\u54cd\u3002<\/p>\n<p>A3PO \u7684\u8bbe\u8ba1\u6b63\u662f\u628a\u8fd9\u4e00\u8ba4\u8bc6\u5177\u4f53\u5316\u4e3a\u8bad\u7ec3\u539f\u5219\uff0c\u5728\u8fd9\u4e9b\u5173\u952e\u62d0\u70b9\u4e0a\u8fdb\u884c\u975e\u5bf9\u79f0 advantage \u653e\u5927\uff0c\u5e76\u968f\u8bad\u7ec3\u8fdb\u7a0b\u9010\u6b65\u8870\u51cf\u8fd9\u79cd\u504f\u7f6e\u3002\u7531\u6b64\uff0c\u5f3a\u5316\u5b66\u4e60\u4e0d\u518d\u53ea\u662f\u7b80\u5355\u5730\u589e\u52a0\u6b63\u786e\u5956\u52b1\u6216\u6263\u51cf\u9519\u8bef\u5206\u6570\uff0c\u800c\u662f\u8f6c\u5411\u56f4\u7ed5\u5173\u952e\u5c40\u90e8\u51b3\u7b56\u70b9\u6709\u9488\u5bf9\u6027\u5730\u5851\u9020\u7b56\u7565\u5206\u5e03\u3002\u8fd9\u6837\u7684\u89c6\u89d2\uff0c\u4f7f\u6b63\u8d1f\u6837\u672c\u4ece\u88ab\u52a8\u7684\u6570\u636e\u6765\u6e90\uff0c\u8f6c\u53d8\u4e3a\u53ef\u88ab\u7cbe\u7ec6\u8c03\u63a7\u7684\u4f18\u5316\u5de5\u5177\uff0c\u4e5f\u628a\u65b9\u6cd5\u7814\u7a76\u4ece\u7ecf\u9a8c\u6027\u8c03\u53c2\u63d0\u5347\u5230\u673a\u5236\u6027\u8bbe\u8ba1\u5c42\u9762\u3002<\/p>\n<p>\u4ece\u66f4\u957f\u8fdc\u770b\uff0c\u8fd9\u4e00\u601d\u8def\u4e3a\u5927\u6a21\u578b\u5bf9\u9f50\u3001\u591a\u6a21\u6001\u63a8\u7406\u4ee5\u53ca\u667a\u80fd\u4f53\u51b3\u7b56\u4e2d\u7684\u5f3a\u5316\u5b66\u4e60\u63d0\u4f9b\u4e86\u5171\u540c\u7684\u65b9\u5411\uff0c\u5373\u4e0d\u518d\u5e73\u5747\u5bf9\u5f85\u6240\u6709\u884c\u4e3a\u4fe1\u53f7\uff0c\u800c\u662f\u6293\u4f4f\u90a3\u4e9b\u5bf9\u6574\u4f53\u7b56\u7565\u7ed3\u6784\u5f71\u54cd\u6700\u5927\u7684\u5173\u952e token \u548c\u5173\u952e\u72b6\u6001\u8fdb\u884c\u91cd\u70b9\u5851\u5f62\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%83%8C%E5%90%8E%E7%9A%84%E5%AD%A6%E6%9C%AF%E5%8A%9B%E9%87%8F\"><\/span>\u80cc\u540e\u7684\u5b66\u672f\u529b\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8fd9\u7bc7\u8bba\u6587\u7684\u901a\u8baf\u4f5c\u8005\u4e3a\u8d75\u946b\uff0c\u73b0\u4efb\u4e2d\u56fd\u4eba\u6c11\u5927\u5b66\u9ad8\u74f4\u4eba\u5de5\u667a\u80fd\u5b66\u9662\u6559\u6388\u3001\u957f\u8058\u526f\u6559\u6388\uff0c\u540c\u65f6\u4ed6\u4e5f\u662f\u56fd\u5bb6\u4f18\u9752\u9879\u76ee\u83b7\u5f97\u8005\u3002<\/p>\n<p>\u8d75\u946b\u6559\u6388\u4e8e 2014 \u5e74 7 \u6708\u5728\u5317\u4eac\u5927\u5b66\u53d6\u5f97\u535a\u58eb\u5b66\u4f4d\uff0c\u4e4b\u540e\u5c31\u804c\u4e8e\u4e2d\u56fd\u4eba\u6c11\u5927\u5b66\uff0c\u81f3\u4eca\u4e00\u76f4\u4ece\u4e8b\u6559\u5b66\u4e0e\u79d1\u7814\u5de5\u4f5c\u3002\u4ed6\u7684\u4e3b\u8981\u7814\u7a76\u9886\u57df\u4e3a\u4fe1\u606f\u68c0\u7d22\u4e0e\u81ea\u7136\u8bed\u8a00\u5904\u7406\uff0c\u76ee\u524d\u5df2\u53d1\u8868\u5b66\u672f\u8bba\u6587 200 \u4f59\u7bc7\uff0c\u8c37\u6b4c\u5b66\u672f\u5f15\u7528\u91cf\u8d85\u8fc7 1.8 \u4e07\u6b21\u3002<\/p>\n<p>\u4ed6\u7275\u5934\u5f00\u53d1\u4e86\u5f00\u6e90\u63a8\u8350\u7cfb\u7edf\u5de5\u5177 RecBole\uff08\u4f2f\u4e50\uff09\u548c\u6587\u672c\u751f\u6210\u5de5\u5177 TextBox\uff08\u5999\u7b14\uff09\uff0c\u5e76\u7ec4\u7ec7\u64b0\u5199\u4e86\u300aA Survey of Large Language 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